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Finding the Fourth Proportional to 21,098.56, 31,658.68 and 9,419.44

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Solution

The fourth proportional to 21,098.56, 31,658.68 and 9,419.44 is: 14,134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,098.56 : 31,658.68 = 9,419.44 : x
  2. Step 2: Convert to fraction form
    21,098.56/31,658.68 = 9,419.44/x
  3. Step 3: Cross multiply
    21,098.56x = 31,658.68 × 9,419.44
  4. Step 4: Simplify right side
    21,098.56x = 298,207,036.74
  5. Step 5: Solve for x
    x = 298,207,036.74/21,098.56
  6. Step 6: Final answer
    x = 14,134.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.